Different Design Approaches for the Optimization of FIR Filter Coefficients

A digital filter is a system that uses discrete time signal as input and produce a discrete time output signal for the purpose of achieving a filter objective. Parks-McClellan method provides optimum equiripple approximation to the desired frequency response and has become the dominant method for optimum design of FIR filters. The filter design process can be described as an optimization problem where each requirement contributes with the term to an error function which should be minimized. This paper deals with the various optimization methods and approaches applied for linear phase FIR filtering. A brief performance comparison of these techniques is also performed.